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Finding the Fourth Proportional to 30,999, 46,498.50 and 10,224.12

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Solution

The fourth proportional to 30,999, 46,498.50 and 10,224.12 is: 15,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999 : 46,498.50 = 10,224.12 : x
  2. Step 2: Convert to fraction form
    30,999/46,498.50 = 10,224.12/x
  3. Step 3: Cross multiply
    30,999x = 46,498.50 × 10,224.12
  4. Step 4: Simplify right side
    30,999x = 475,406,243.82
  5. Step 5: Solve for x
    x = 475,406,243.82/30,999
  6. Step 6: Final answer
    x = 15,336.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.